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132048 = 24327131
BaseRepresentation
bin100000001111010000
320201010200
4200033100
513211143
62455200
71056660
oct401720
9221120
10132048
1190234
1264500
1348147
14361a0
15291d3
hex203d0

132048 has 60 divisors (see below), whose sum is σ = 425568. Its totient is φ = 37440.

The previous prime is 132047. The next prime is 132049. The reversal of 132048 is 840231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132047) and next prime (132049).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 132048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 943 + ... + 1073.

2132048 is an apocalyptic number.

132048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212784).

132048 is an abundant number, since it is smaller than the sum of its proper divisors (293520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132048 is a wasteful number, since it uses less digits than its factorization.

132048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132048 is about 363.3840943134. The cubic root of 132048 is about 50.9226046376.

Adding to 132048 its reverse (840231), we get a palindrome (972279).

The spelling of 132048 in words is "one hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 131 144 168 252 262 336 393 504 524 786 917 1008 1048 1179 1572 1834 2096 2358 2751 3144 3668 4716 5502 6288 7336 8253 9432 11004 14672 16506 18864 22008 33012 44016 66024 132048